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Zbl 0818.65012
MacLeod, Allan J.
Chebyshev expansions for modified Struve and related functions. (English)
[J] Math. Comput. 60, No.202, 735-747 (1993). ISSN 0025-5718; ISSN 1088-6842/e

Summary: We consider the approximation of the modified Struve functions ${\bold L}\sb 0$ and ${\bold L}\sb 1$, and the related functions $I\sb 0 - {\bold L}\sb 0$ and $I\sb 1 - {\bold L}\sb 1$, where $I\sb 0$, $I\sb 1$ are modified Bessel functions. Chebyshev expansions are derived to an accuracy of 20D for these functions. By using generalized bilinear and biquadratic maps we optimize the number of coefficients for 20D accuracy.

MSC 2000:: *65D20 Computation of special functions
33C10 Cylinder functions, etc.

Keywords: testing; modified Struve functions; modified Bessel functions; Chebyshev expansions

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